EP2543128A2 - Transmission d'énergie sans fil efficace et robuste - Google Patents

Transmission d'énergie sans fil efficace et robuste

Info

Publication number
EP2543128A2
EP2543128A2 EP11717037A EP11717037A EP2543128A2 EP 2543128 A2 EP2543128 A2 EP 2543128A2 EP 11717037 A EP11717037 A EP 11717037A EP 11717037 A EP11717037 A EP 11717037A EP 2543128 A2 EP2543128 A2 EP 2543128A2
Authority
EP
European Patent Office
Prior art keywords
coil
source coil
resonant frequency
coupling coefficient
drain
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Withdrawn
Application number
EP11717037A
Other languages
German (de)
English (en)
Inventor
Yaron Silberberg
Haim Suchowski
Nikolay V. Vitanov
Andon A. Rangelov
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Yeda Research and Development Co Ltd
Original Assignee
Yeda Research and Development Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Yeda Research and Development Co Ltd filed Critical Yeda Research and Development Co Ltd
Publication of EP2543128A2 publication Critical patent/EP2543128A2/fr
Withdrawn legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H02J50/12Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01FMAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F38/00Adaptations of transformers or inductances for specific applications or functions
    • H01F38/14Inductive couplings
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/90Circuit arrangements or systems for wireless supply or distribution of electric power involving detection or optimisation of position, e.g. alignment
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B5/00Near-field transmission systems, e.g. inductive or capacitive transmission systems
    • H04B5/70Near-field transmission systems, e.g. inductive or capacitive transmission systems specially adapted for specific purposes
    • H04B5/79Near-field transmission systems, e.g. inductive or capacitive transmission systems specially adapted for specific purposes for data transfer in combination with power transfer

Definitions

  • the present invention relates to a device and method for wireless energy transfer.
  • the present embodiments provide a technique for robust and efficient mid-range wireless power transfer between two coils, by adapting the process of rapid adiabatic passage (RAP) for a coherently driven two-mode system, as is explained hereinbelow.
  • RAP rapid adiabatic passage
  • the dynamic adiabatic solution is shown to be both efficient and robust for variation of the parameters driving the process, such as the resonant frequencies of the coils and the coupling coefficient variable.
  • a method of transferring energy between a source coil and a drain coil comprising:
  • both of the first condition and the second condition are adiabatically changed.
  • the first condition is adiabatically changed.
  • the second condition may be adiabatically changed.
  • the source coil is part of a resonant circuit having variable components to allow the initial resonant frequency to be changed.
  • the source and drain coils are mobile with respect to each other, thereby to allow changing of the initial coupling coefficient.
  • the adiabatic changing comprises fulfilling an adiabatic condition relating the coupling coefficient and the detuning value: ⁇ ' ( ⁇ ( ⁇ - ⁇ ( ⁇ ⁇ ( ⁇ « [4K 2 (t) + A 2 (t)f
  • the coupling coefficient ' ⁇ is relatively larger than a loss rate ( ⁇ ), and wherein an initial and a final detuning are both relatively larger than the coupling coefficient, ( ⁇ ⁇ ⁇ ⁇ ⁇ ).
  • An embodiment may involve varying the resonant frequency of the source coil such that a detuning value ( ⁇ ), the detuning value being a difference between the resonant frequency of the source coil and the resonant frequency of the drain coil, sweeps slowly from a negative value, the negative value being larger than the coupling between the source coil and the drain coil, to a positive value being larger than the coupling between the source coil and the drain coil.
  • detuning value
  • An embodiment may involve modifying the changing to reduce an amount of time that energy is retained in the source coil.
  • An embodiment may involve varying the resonant frequency of the source coil by an amount of up to ten percent over a period of between one and three milliseconds.
  • An embodiment may involve varying the resonant frequency of the source coil by an amount of up to ten percent over a period exceeding two milliseconds.
  • An embodiment may involve varying the coupling coefficient over the period.
  • apparatus for transferring energy comprising:
  • a source coil having resonance variation circuitry for varying a resonant frequency of the source coil
  • a position unit for varying a position or orientation of the source coil so as to vary a coupling coefficient of the source coil with a respective drain coil to which the source coil is wirelessly coupled;
  • both of the resonant frequency and the coupling coefficient are adiabatically changed.
  • the resonant frequency is adiabatically changed.
  • the coupling coefficient is adiabatically changed.
  • the locating unit is operative to rotate the source coil, thereby to allow the adiabatic changing of the initial coupling coefficient.
  • the detuning value being the difference between a current value of the resonant frequency of the source coil and the resonant frequency of the drain coil, the th time dependence of the coupling coefficient
  • the coupling coefficient ⁇ is relatively larger than a loss rate ( ⁇ ), and wherein an initial and a final detuning are both relatively larger than the coupling coefficient, ( ⁇ ⁇ ⁇ ⁇ ⁇ ).
  • the controller is configured to vary the resonant frequency of the source coil such that a detuning value ( ⁇ ), the detuning value being a difference between the resonant frequency of the source coil and the resonant frequency of the drain coil, sweeps slowly from a negative value, the negative value being larger than the coupling between the source coil and the drain coil, to a positive value being larger than the coupling between the source coil and the drain coil.
  • detuning value
  • the controller is operative to modifying the changing to reduce an amount of time that energy is retained in the source coil.
  • the controller is operative to vary the resonant frequency of the source coil by an amount of up to ten percent over a period of between one and three milliseconds.
  • the controller is operative to vary the resonant frequency of the source coil by an amount of up to ten percent over a period exceeding two milliseconds.
  • the controller is operative to vary the coupling coefficient over the period.
  • all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
  • the materials, methods, and examples provided herein are illustrative only and not intended to be limiting.
  • Implementation of the method and/or system of embodiments of the invention can involve performing or completing selected tasks manually, automatically, or a combination thereof. This refers in particular to tasks involving setting transmission parameters.
  • a data processor such as a computing platform for executing a plurality of instructions.
  • the data processor includes a volatile memory for storing instructions and/or data and/or a non-volatile storage, for example a magnetic hard-disk and/or removable media, for storing instructions and/or data.
  • a network connection is provided as well.
  • a display and/or a user input device such as a keyboard or mouse are optionally provided as well.
  • FIG. 1A is a simplified diagram illustrating a system for transferring power wirelessly over a two coil system to power a device, using a static resonant frequency according to the prior art
  • FIG. IB is a simplified diagram of a system for transferring power wirelessly over a two-coil system to power a device, using a resonant frequency or a coupling coefficient varying adiabatically with time according to a first embodiment of the present invention
  • FIG. 1C is a flow chart showing a method of transferring energy between a source coil and a drain coil using an embodiment of the present invention
  • FIGs. 2A - 2D are a series of graphs comparing energy transfer between two coils with and without the assistance of the present embodiments
  • FIG. 3 is a graph illustrating a series of adiabatic sweeps of the resonant frequency with time applied to a source coil according to the present embodiments compared with a static resonant frequency according to the prior art;
  • FIG. 4 shows two side by side graphs comparing efficiency and useful energy consumed respectively for a RAP system according to the present embodiments and a resonance based system, according to the prior art, both as a function of the static detuning, for a first set of coefficients;
  • FIG. 5 shows two side by side graphs comparing efficiency and useful energy consumed respectively for a RAP system according to the present embodiments and a resonance based system, according to the prior art, both as a function of the static detuning, for a second set of coefficients;
  • FIGs. 6, 7, 8A and 8B show contour plots of the efficiency coefficient ⁇ as a function of the coupling and the decay rate of the source and the drain coils
  • FIG. 9A shows simulation results in which coupling and detuning are plotted as a function of time according to an embodiment of the present invention
  • FIG. 9B shows results of the same simulation as FIG. 9A in which energy transfer between the coils is plotted as a function of time
  • FIG. 10 is a simplified plot in which energy transfer percent is plotted against the static detuning in a simulation according to an embodiment of the present invention.
  • FIG. 11 is a plot showing energy transfer as a function of time for another simulation according to the present embodiments.
  • FIG. 12 illustrates a prototype embodiment of the present invention on which the results shown in table 1 were obtained;
  • FIG. 13 is a comparative graph showing dynamics of different coupling techniques according to the present embodiments and according to the prior art.
  • FIG. 14 is a graph showing the differentials of the different coupling technique dynamics of FIG. 13.
  • the present embodiments comprise a technique for efficient and robust mid- range wireless power transfer between two coils, by adapting the process of rapid adiabatic passage for a coherently driven two-state atom to the realm of wireless energy transfer.
  • This scheme may transfer energy between the coils without being sensitive to resonant constraints, noise and other interference that may exist in the neighborhood of the coils.
  • the present embodiments thus adapt coupling conditions adiabatically, the coupling conditions being for example the coupling coefficient and resonant frequency.
  • the prior art of which applicant is aware by contrast retains fixed coupling conditions.
  • the principles and operation of an apparatus and method according to the present invention may be better understood with reference to the drawings and accompanying description.
  • Two coupled mode theory is also referred to as the two state atom analogue.
  • FIG. 1A illustrates two coils 10 and 12, which are designed for wireless energy transfer between them.
  • the source coil 10 is part of a driving circuit and is periodically recharged, while the energy is transferred wirelessly to the device coil 12 across a space.
  • a s (t) and a £) (t) are defined so that the energy contained in the source is and the energy contained in the drain is
  • s and T D are the intrinsic decay rates of the source and the drain coils respectively, decay being typically due to absorption and radiation losses.
  • Work may be extracted from the device by means of the term V w .
  • the frequencies of the source and the drain coils are a> s (t) and ⁇ ⁇ (t) and those are given explicitly as:
  • L S D (t) and C s D (t) are the inductance and the capacitance respectively of the source and the drain coils.
  • the coupling coefficient between the two coils is denoted as /f (t) and is given as:
  • M (t) is the mutual inductance of the two coils.
  • Equation (l) is equivalent to the Schrodinger equation for a two-state atom written in the rotating-wave approximation, where the variables a s (t) and a D (t) are, respectively, the probability amplitudes for the ground state (equivalent to the source coil) and the excited state (equivalent to the drain coil).
  • the coupling coefficient (off diagonal elements in the matrix formulation) is proportional to the atomic transition dipole moment d 12 and the laser electric field amplitude E (t) ; i.e
  • ⁇ ( ⁇ ) ⁇ 5 (t) - ⁇ 3 ⁇ 4 (t) .
  • the detuning value will be zero.
  • the resonance technique is not an optimal solution for wireless energy transfer between two coils.
  • the present embodiments provide an alternative and robust adiabatic technique, which uses time dependent dynamics instead of constant dynamics.
  • Time dependent dynamics may be achieved by changing the resonant frequency of the source coil, and the incoming pump source, with time and/or changing the coupling coefficient between the coils.
  • the changing of the resonant frequency, or the coupling coefficient may be carried out in adiabatic manner, by which is meant relatively very slowly compared to the internal dynamics of the system, which is a function of the coupling coefficient.
  • adiabatic criteria in the context of wireless energy transfer.
  • Equation (1) thus modified reads as follows:
  • the evolution is adiabatic, the .
  • the energy contained in the source and the drain coil may change if the mixing angle ' changes and thus adiabatic evolution can produce energy transfer between the two coils.
  • RAP rapid adiabatic passage
  • the variation of the detuning for the RAP mechanism could be achieved by changing the capacitance, or equivalently, the inductance, of one or both of the two coils.
  • the above derivation is for the theoretical case of zero decay. In the realistic case when the decay rates are not zero, this does not change the essence of RAP.
  • the nonzero decay rates may merely reduce the final energy in the second coil.
  • Fig. lc is a flow chart showing a method of transferring energy between a source coil and a drain coil based on the above derivation.
  • a source coil connected to a power supply is placed at an initial position in relation to a drain coil which is connected to a device to be powered.
  • the source coil begins with an initial resonant frequency.
  • the position in which it is located relative to the drain coil provides an initial coupling coefficient for the system.
  • step 16 either or both of the position and resonant frequency are changed adiabatically.
  • step 18 energy is pumped into the source coil from the power supply at the current resonant frequency.
  • the linked system between the source and drain coils transfers energy from the source to the drain coil and powers any devices attached to the drain coil.
  • the link may be more efficient over a wider bandwidth and more robust to background noise than the prior art static resonant link, as will be explained hereinbelow.
  • the resonant frequency of the source coil may be changed by changing the value of a variable capacitor or a variable resistor or varying the inductance of the circuit that includes the source coil.
  • the coupling coefficient may be varied by changing the relative positions of the two coils. Most simply this may be achieved by rotating the source coil. At any given time there is a detuning value between the source and drain coils.
  • the detuning value is the difference between a current value of the resonant frequency of the source coil and the resonant frequency of the drain coil.
  • the adiabatic changing may be a change which provides a smooth time dependence of the coupling coefficient (" " ( ) and the detuning value ( ⁇ ⁇ ).
  • the coupling coefficient * ⁇ '' may be relatively larger than a loss rate ( ⁇ ).
  • An initial and a final detuning valiie over the adiabatic cycle may both be relatively larger than the coupling coefficient. That is to say a condition is applied of ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ .
  • the adiabatic varying of the resonant frequency of the source coil may provide that the detuning value as a function of time ( ⁇ ) ) sweeps slowly from a negative value which is larger than the coupling, to a positive value also larger than the coupling.
  • An embodiment may comprise modifying the change to reduce an amount of time that energy is retained in the source coil.
  • An embodiment may involve varying the resonant frequency of the source coil by an amount of up to ten percent over a period of between one and three milliseconds.
  • An alternative is to vary the resonant frequency of the source coil by an amount of up to ten percent over a period exceeding two milliseconds.
  • variation may be applied to the coupling coefficient over the same period.
  • FIG 2 shows a series of four graphs in which a numerical comparison between RAP and resonance mechanisms, with and without losses are shown.
  • Graphs a) and b) show the RAP energy transfer mechanism.
  • Graphs c) and d) show the resonance energy transfer mechanism.
  • the dashed line refers to the source coil
  • the solid line refers to the device coil
  • the RAP process may present an advantage over the resonant case particularly when the coupling coefficient is relatively larger than the loss rate, and when the initial and final detuning is relatively larger than the coupling coefficient. Mathematically, the following may hold: ⁇ ⁇ ⁇ ⁇ ⁇ .
  • the efficiency coefficient which is the ratio between the work extracted from the drain for the time interval T divided by the total energy, including both absorbed and radiated, for the same time interval.
  • the efficiency value may be reduced to the following efficiency value:
  • Fig. 3 is a graphical illustration of the RAP dynamics with time.
  • the RAP dynamics or for that matter any other time varying dynamics, may repeat itself after some repetition time, defined herein as TREP.
  • Gamma is a factor of the energy fall - conceptually similar to the lifetime measure for radioactivity or time constants for control loops and the like, and is based on the energy dropping to 10%.
  • the coil is re-energized, or pumped again. That is to say the timing of the re-energizing needs to be fast enough to effectively transfer the energy but slow enough to accord with the time constants involved in the system.
  • Figure 3 shows the function of the resonant frequency of the source coil.
  • the resonant static case is shown as graph 30, and the repeated linear case, which is the simplest realization or the RAP dynamics, is shown as graph 32.
  • Another important measurement is the amount of energy transfer from the source coil to the device, or the useful energy consumed as a function of time. This
  • Static detuning refers to the difference between the source resonant frequency and the drain resonant frequency, for the following functions of the RAP mechanism:
  • Figure 4 shows a comparison between the efficiency coefficient ⁇ as a function of the static detuning, Fig. 4a, and useful energy consumed as a function of the static detuning, Fig. 4b.
  • the RAP case is line 40 and the resonance case is line 42.
  • the numerical simulations are made for the following parameters:
  • FIG. 5 illustrates a comparison between the efficiency coefficient ⁇ as a function of the static detuning (Fig. 5 a) and useful energy consumed as a function of the static detuning (Fig. 5b).
  • the RAP case is line 50 and the resonance case is line 52.
  • the numerical simulations are made for the following parameters:
  • RAP has an advantage because the maximum efficiency coefficient ⁇ for the RAP case is high compared to the resonance case and also RAP is far more insensitive to static detuning b.
  • the maximum for the resonance case is symmetric about the positive and negative static detuning while the RAP case is not symmetric and the maximum is shifted toward the negative detuning.
  • Fig. 7 illustrates the resonance mechanism with the following time dependence of the coupling and the detuning:
  • Figures 6 and 7 are contour plots of the efficiency coefficient ⁇ for the RAP case
  • Figure 8 illustrates a contour plot of the efficiency coefficient ⁇ for the RAP case, Fig. 8a, and the resonance case, Fig. 8b, for parameters:
  • Figure 9a illustrates the RAP case coupling and detuning as a function of time
  • Fig. 9b shows energy transfer as a function of time.
  • Figure 10 illustrates energy transfer as a function of the static detuning. Comparison is shown between the time dependent RAP case 100 and the resonance case 102.
  • the parameters used in the simulation of Fig. 10 are:
  • Fig. 11 shows energy transfer as a function of time for the RAP case 110 and the resonance case 112.
  • the decay rates used in the simulation of Fig. 11 are:
  • Fig. 12 illustrates an implementation of the adiabatic wireless energy transfer, for carrying out adiabatic wireless energy transfer.
  • a power amplifier 120 is a power source and provides a sawtooth output at a given frequency in accordance with Fig. 3 above that provides an adiabatic effect.
  • the power is provided to an RLC circuit 122 which is inductively coupled with mutual inductance M to a device RLC circuit 124.
  • Device RLC circuit is connected to device 126 which it is desired to power from power source 120.
  • the resonant frequency of a coil is defined as (in case of negligible loss): where L is the inductance of the coil, " is the equivalent parallel
  • the uality factor of a coil (series RLC circuit) is defined as:
  • Rohm and Rrad are the ohmic loss inside the wire and the radiation resistance (i.e. the energy that is radiated), respectively.
  • the impedance can be calculated as:
  • ⁇ ⁇ and ⁇ ⁇ values are the minimal and maximal frequencies of a frequency sweep.
  • T REP is the repetition time of each cycle (which should be of the order of 1/ ⁇ ).
  • Table 1 below gives some numerical examples of adiabatic energy transfer carried out using the apparatus of Fig. 12, showing dimensions, frequencies used, and the capacitance which was varied during the course of each experiment.
  • Fig. 13 is a comparative graph of co s against time for different energy transfer regimes.
  • Curves shown are 1310 linear sweep adiabatic coupling, 1320 on resonance constant coupling, 1330 off resonance constant coupling, 1340 non-linear sweep adiabatic coupling and 1350 linear sweep ⁇ -adiabatic coupling.
  • linear sweep case 1310 c is much smaller than kappa.
  • linear sweep non-adiabatic case 1350 is robust but not very efficient.
  • non linear sweep adiabatic coupling 1340 may be the optimal sweep function.
  • the function may still be adiabatic in that it fulfils the condition set by equation 3 above and it may be more optimal than the linear case.
  • Fig. 14 is the differential of Fig. 13.
  • the linear adiabatic case 1310 has a differential which is linear and non-zero.
  • the non-linear sweep adiabatic case 1340 is non-linear but within a zone 1400 defined by equation 3 which may be termed the adiabatic zone.
  • the linear sweep non- adiabatic case 1350 has a linear differential, but the differential is outside the adiabatic zone 1400.

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Charge And Discharge Circuits For Batteries Or The Like (AREA)
  • Magnetic Resonance Imaging Apparatus (AREA)
  • Water Treatment By Electricity Or Magnetism (AREA)
  • External Artificial Organs (AREA)

Abstract

L'invention concerne un procédé ou un appareil de transfert d'énergie entre une bobine source et une bobine de drain, lequel consiste à définir une fréquence de résonance initiale de la bobine source comme première condition, à placer la bobine source et la bobine de drain dans des positions relatives l'une par rapport à l'autre afin de définir un coefficient de couplage initial entre elles de sorte que ledit coefficient de couplage initial comprennent une seconde condition, et à changer adiabatiquement une ou les deux conditions tout en pompant de l'énergie dans la bobine source. L'énergie de la bobine source est transférée vers la bobine de drain au cours du changement adiabatique.
EP11717037A 2010-03-04 2011-03-03 Transmission d'énergie sans fil efficace et robuste Withdrawn EP2543128A2 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US31031210P 2010-03-04 2010-03-04
PCT/IL2011/000214 WO2011107995A2 (fr) 2010-03-04 2011-03-03 Transfert d'énergie efficace et robuste

Publications (1)

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EP2543128A2 true EP2543128A2 (fr) 2013-01-09

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EP11717037A Withdrawn EP2543128A2 (fr) 2010-03-04 2011-03-03 Transmission d'énergie sans fil efficace et robuste

Country Status (6)

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US (2) US9368974B2 (fr)
EP (1) EP2543128A2 (fr)
KR (1) KR20130016247A (fr)
CN (1) CN102959831B (fr)
IL (1) IL221769A (fr)
WO (1) WO2011107995A2 (fr)

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WO2011107995A2 (fr) 2010-03-04 2011-09-09 Yeda Research And Development Co. Ltd. Transfert d'énergie efficace et robuste
KR20140036197A (ko) * 2011-06-07 2014-03-25 세키스이가가쿠 고교가부시키가이샤 비접촉 급전 시스템, 비접촉 급전 장치, 비접촉 급전 프로그램 및 비접촉 급전 방법
CN104034971A (zh) * 2013-03-04 2014-09-10 联想(北京)有限公司 用于对电子设备进行充电检测的方法和装置
TWI568124B (zh) * 2015-12-28 2017-01-21 華邦電子股份有限公司 供應絕熱電路操作之無線電力傳輸系統
CN106921216B (zh) * 2015-12-28 2021-07-06 华邦电子股份有限公司 供应绝热电路操作的无线电力传输系统
US10432197B2 (en) 2016-08-08 2019-10-01 Qualcomm Incorporated Electronic devices employing adiabatic logic circuits with wireless charging
US11671054B2 (en) * 2020-08-31 2023-06-06 National Technology & Engineering Solutions Of Sandia, Llc Oscillator for adiabatic computational circuitry
CN113315259B (zh) * 2021-06-17 2022-06-03 丰宇宸 一种基于特征值的双线圈无线供电系统的谐振频率配置方法

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US7825543B2 (en) 2005-07-12 2010-11-02 Massachusetts Institute Of Technology Wireless energy transfer
WO2007008646A2 (fr) 2005-07-12 2007-01-18 Massachusetts Institute Of Technology Transfert d'energie non radiatif sans fil
JP4561886B2 (ja) 2008-06-27 2010-10-13 ソニー株式会社 電力伝送装置、給電装置及び受電装置
US8446045B2 (en) 2008-08-20 2013-05-21 Intel Corporation Flat, asymmetric, and E-field confined wireless power transfer apparatus and method thereof
US8362651B2 (en) * 2008-10-01 2013-01-29 Massachusetts Institute Of Technology Efficient near-field wireless energy transfer using adiabatic system variations
WO2011107995A2 (fr) 2010-03-04 2011-09-09 Yeda Research And Development Co. Ltd. Transfert d'énergie efficace et robuste

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Publication number Publication date
WO2011107995A3 (fr) 2012-11-22
CN102959831A (zh) 2013-03-06
US20120319498A1 (en) 2012-12-20
WO2011107995A2 (fr) 2011-09-09
IL221769A (en) 2016-11-30
KR20130016247A (ko) 2013-02-14
US20160294224A1 (en) 2016-10-06
US9368974B2 (en) 2016-06-14
CN102959831B (zh) 2015-12-09

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